Final answer:
The magnetic field (B) corresponding to an electromagnetic wave with an electric field (E) of 3 V/m and moving in the negative z direction would be pointing in the positive x direction with a magnitude of 1 × 10µ T.
Step-by-step explanation:
An electromagnetic wave is characterized by perpendicular electric and magnetic fields that are also perpendicular to the direction of wave propagation. According to Maxwell’s equations and the right-hand rule, if an electromagnetic wave is moving in the negative z direction, and the electric field (E) is pointing along the positive y-axis, then the magnetic field (B) associated with it will be perpendicular to both the direction of propagation and the electric field. This implies that the magnetic field will be pointing in the positive x direction. Additionally, the magnitude of B is given by the equation B = E/c, where c is the speed of light in a vacuum (approximately 3 × 10¸ m/s). Given that the electric field has a magnitude of 3 V/m, the magnetic field's magnitude can be calculated using the equation as B = 3 V/m / (3 × 10¸ m/s), which yields a magnitude of 1 × 10µ T (tesla).